39 citations · 113 across the 23 of their papers we have counts for
23 papers
A stability-preserving polytopal discontinuous Galerkin method for the Fisher-Kolmogorov model with applications to neurodegenerative disease modelling
Paola Francesca Antonietti, Francesca Bonizzoni, Mattia Corti +3
The Fisher--Kolmogorov equation models the spatio-temporal evolution of interacting biological species and is extensively employed in fields such as ecology, population dynamics, a…
High-fidelity and Network-based Spatio-temporal Mathematical Models of Alzheimer's Disease Progression and their Validation Against PET-SUVR Imaging Data
Beatrice Caon, Mattia Corti, Francesca Bonizzoni +1
Alzheimer's disease is the most common neurodegenerative disorder. Its pathological development is connected with the misfolding and accumulation of two toxic proteins: amyloid-bet…
A Multilevel Monte Carlo Virtual Element Method for Uncertainty Quantification of Elliptic Partial Differential Equations
Paola F. Antonietti, Francesca Bonizzoni, Ilaria Perugia +1
We introduce a Monte Carlo Virtual Element estimator based on Virtual Element discretizations for stochastic elliptic partial differential equations with random diffusion coefficie…
Learning geometry-dependent lead-field operators for forward ECG modeling
Arsenii Dokuchaev, Francesca Bonizzoni, Stefano Pagani +2
Modern forward electrocardiogram (ECG) computational models rely on an accurate representation of the torso domain. The lead-field method enables fast ECG simulations while preserv…
Shape-informed cardiac mechanics surrogates in data-scarce regimes via geometric encoding and generative augmentation
Davide Carrara, Marc Hirschvogel, Francesca Bonizzoni +3
High-fidelity computational models of cardiac mechanics provide mechanistic insight into the heart function but are computationally prohibitive for routine clinical use. Surrogate…
Tensor-product vertex patch smoothers for biharmonic problems
Julius Witte, Cu Cui, Francesca Bonizzoni +1
We discuss vertex patch smoothers as overlapping domain decomposition methods for fourth order elliptic partial differential equations. We show that they are numerically very effic…
Discontinuous Galerkin approximations of the heterodimer model for protein-protein interaction
Paola F. Antonietti, Francesca Bonizzoni, Mattia Corti +1
Mathematical models of protein-protein dynamics, such as the heterodimer model, play a crucial role in understanding many physical phenomena. This model is a system of two semiline…
Structure Preserving Polytopal Discontinuous Galerkin Methods for the Numerical Modeling of Neurodegenerative Diseases
Mattia Corti, Francesca Bonizzoni, Paola F. Antonietti
Many neurodegenerative diseases are connected to the spreading of misfolded prionic proteins. In this paper, we analyse the process of misfolding and spreading of both -synuclei…
Uncertainty Quantification for Fisher-Kolmogorov Equation on Graphs with Application to Patient-Specific Alzheimer Disease
Mattia Corti, Francesca Bonizzoni, Paola F. Antonietti +1
The Fisher-Kolmogorov equation is a diffusion-reaction PDE that is used to model the accumulation of prionic proteins, which are responsible for many different neurological disorde…
A DG-VEM method for the dissipative wave equation
Paola Francesca Antonietti, Francesca Bonizzoni, Marco Verani
A novel space-time discretization for the (linear) scalar-valued dissipative wave equation is presented. It is a structured approach, namely, the discretization space is obtained t…
Discontinuous Galerkin Methods for Fisher-Kolmogorov Equation with Application to -Synuclein Spreading in Parkinson's Disease
Mattia Corti, Francesca Bonizzoni, Luca Dede' +2
This spreading of prion proteins is at the basis of brain neurodegeneration. This paper deals with the numerical modelling of the misfolding process of -synuclein in Parkinson's…
Discrete tensor product BGG sequences: splines and finite elements
Francesca Bonizzoni, Kaibo Hu, Guido Kanschat +1
In this paper, we provide a systematic discretization of the Bernstein-Gelfand-Gelfand (BGG) diagrams and complexes over cubical meshes of arbitrary dimension via the use of tensor…
A reduced basis super-localized orthogonal decomposition for reaction-convection-diffusion problems
Francesca Bonizzoni, Moritz Hauck, Daniel Peterseim
This paper presents a method for the numerical treatment of reaction-convection-diffusion problems with parameter-dependent coefficients that are arbitrary rough and possibly varyi…
Uncertainty quantification in timber-like beams using sparse grids: theory and examples with off-the-shelf software utilization
Balduzzi Giuseppe, Bonizzoni Francesca, Tamellini Lorenzo
When dealing with timber structures, the characteristic strength and stiffness of the material are made highly variable and uncertain by the unavoidable, yet hardly predictable, pr…
A greedy MOR method for the tracking of eigensolutions to parametric elliptic PDEs
Moataz M. Alghamdi, Daniele Boffi, Francesca Bonizzoni
In this paper we introduce an algorithm based on a sparse grid adaptive refinement, for the approximation of the eigensolutions to parametric problems arising from elliptic partial…
On the matching of eigensolutions to parametric partial differential equations
Moataz M. Alghamdi, Fleurianne Bertrand, Daniele Boffi +3
In this paper a novel numerical approximation of parametric eigenvalue problems is presented. We motivate our study with the analysis of a POD reduced order model for a simple one…
Super-localized orthogonal decomposition for convection-dominated diffusion problems
Francesca Bonizzoni, Philip Freese, Daniel Peterseim
This paper presents a multi-scale method for convection-dominated diffusion problems in the regime of large Péclet numbers. The application of the solution operator to piecewise co…
Rational-approximation-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots
Francesca Bonizzoni, Davide Pradovera, Michele Ruggeri
We introduce several spatially adaptive model order reduction approaches tailored to non-coercive elliptic boundary value problems, specifically, parametric-in-frequency Helmholtz…
Regularity and sparse approximation of the recursive first moment equations for the lognormal Darcy problem
Francesca Bonizzoni, Fabio Nobile
We study the Darcy boundary value problem with log-normal permeability field. We adopt a perturbation approach, expanding the solution in Taylor series around the nominal value of…
A structure-preserving discontinuous Galerkin scheme for the Fischer-KPP equation
Francesca Bonizzoni, Marcel Braukhoff, Ansgar Jüngel +1
An implicit Euler discontinuous Galerkin scheme for the Fisher-Kolmogorov-Petrovsky-Piscounov (Fisher-KPP) equation for population densities with no-flux boundary conditions is sug…
Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure
Francesca Bonizzoni, Fabio Nobile, Ilaria Perugia +1
In this work, we consider the approximation of Hilbert space-valued meromorphic functions that arise as solution maps of parametric PDEs whose operator is the shift of an operator…
Least-Squares Padé approximation of parametric and stochastic Helmholtz maps
Francesca Bonizzoni, Fabio Nobile, Ilaria Perugia +1
The present work deals with the rational model order reduction method based on the single-point Least-Square (LS) Padé approximation technique introduced in [3]. Algorithmical aspe…
Finite element differential forms on curvilinear cubic meshes and their approximation properties
Douglas N. Arnold, Daniele Boffi, Francesca Bonizzoni
We study the approximation properties of a wide class of finite element differential forms on curvilinear cubic meshes in n dimensions. Specifically, we consider meshes in which ea…